# Roll me a prime

Optimus Prime loves prime numbers. So, he decides to keep rolling a fair six-sided die, until he rolls a prime number less than 100. e.g. If his last two rolls were a 6 and then a 1, he would be done since 61 is a prime number. Or, for example, any time he rolls a 3 he would also be done since 3 is a prime number.

If the expected number of rolls he must make is $$\dfrac{a}{b}$$, where $$a$$ and $$b$$ are coprime positive integers, what is $$a+b$$?

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